Multiplicity of nonnegative solutions for quasilinear Schrödinger equations

The paper deals with existence and multiplicity of nonnegative weak solutions for quasilinear Schrödinger equations involving nonlinearities with possibly supercritical growth at infinity and indefinite sign. An appropriate change of variables reduces the quasilinear problem into a semilinear one. Variational and sub- super-methods are applied in order to obtain the main results of the paper.